The radii of two circles are 6 cm and 2 cm. The centers of the two circles are 10 cm apart. What is the length of a transverse common tangent?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 6 cm.
Here, r1 = 6 cm, r2 = 2 cm, Distance between centers (d) = 10 cm
Transverse common tangent length = √[d2 – (r1 + r2)2]
= √[102 – (6 + 2)2]
= √(100 - 64)
= √36
= 6 cm